{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:B6D4KFDN6LOJUBQJBXR6RI4OSL","short_pith_number":"pith:B6D4KFDN","schema_version":"1.0","canonical_sha256":"0f87c5146df2dc9a06090de3e8a38e92ca92867917cdbc09a426ddd6286b2644","source":{"kind":"arxiv","id":"1506.04738","version":2},"attestation_state":"computed","paper":{"title":"BPS Monopole in the Space of Boundary Conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"Satoshi Ohya","submitted_at":"2015-06-15T20:00:12Z","abstract_excerpt":"The space of all possible boundary conditions that respect self-adjointness of Hamiltonian operator is known to be given by the group manifold $U(2)$ in one-dimensional quantum mechanics. In this paper we study non-Abelian Berry's connections in the space of boundary conditions in a simple quantum mechanical system. We consider a system for a free spinless particle on a circle with two point-like interactions described by the $U(2) \\times U(2)$ family of boundary conditions. We show that, for a certain $SU(2) \\subset U(2) \\times U(2)$ subfamily of boundary conditions, all the energy levels bec"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1506.04738","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-06-15T20:00:12Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"700959127b88bf25928d93c7ca0cfd3722bc861511f112c6d4b4a24b4d317a9d","abstract_canon_sha256":"bf742a18a49e67c88bb8a914ff1e09cc5309776561b04dfa641951c19a4d87b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:10.083412Z","signature_b64":"GRc1SSaRJVZDApH16SeY2AhQ57mUXgH+bzeDUEQ9H2Rv8sPkU6o6CiGCdIhZupAKgfqEgjtbte2eunZcxSo7Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f87c5146df2dc9a06090de3e8a38e92ca92867917cdbc09a426ddd6286b2644","last_reissued_at":"2026-05-18T01:26:10.082930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:10.082930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"BPS Monopole in the Space of Boundary Conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"Satoshi Ohya","submitted_at":"2015-06-15T20:00:12Z","abstract_excerpt":"The space of all possible boundary conditions that respect self-adjointness of Hamiltonian operator is known to be given by the group manifold $U(2)$ in one-dimensional quantum mechanics. In this paper we study non-Abelian Berry's connections in the space of boundary conditions in a simple quantum mechanical system. We consider a system for a free spinless particle on a circle with two point-like interactions described by the $U(2) \\times U(2)$ family of boundary conditions. We show that, for a certain $SU(2) \\subset U(2) \\times U(2)$ subfamily of boundary conditions, all the energy levels bec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04738","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1506.04738","created_at":"2026-05-18T01:26:10.083015+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.04738v2","created_at":"2026-05-18T01:26:10.083015+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04738","created_at":"2026-05-18T01:26:10.083015+00:00"},{"alias_kind":"pith_short_12","alias_value":"B6D4KFDN6LOJ","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"B6D4KFDN6LOJUBQJ","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"B6D4KFDN","created_at":"2026-05-18T12:29:14.074870+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B6D4KFDN6LOJUBQJBXR6RI4OSL","json":"https://pith.science/pith/B6D4KFDN6LOJUBQJBXR6RI4OSL.json","graph_json":"https://pith.science/api/pith-number/B6D4KFDN6LOJUBQJBXR6RI4OSL/graph.json","events_json":"https://pith.science/api/pith-number/B6D4KFDN6LOJUBQJBXR6RI4OSL/events.json","paper":"https://pith.science/paper/B6D4KFDN"},"agent_actions":{"view_html":"https://pith.science/pith/B6D4KFDN6LOJUBQJBXR6RI4OSL","download_json":"https://pith.science/pith/B6D4KFDN6LOJUBQJBXR6RI4OSL.json","view_paper":"https://pith.science/paper/B6D4KFDN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.04738&json=true","fetch_graph":"https://pith.science/api/pith-number/B6D4KFDN6LOJUBQJBXR6RI4OSL/graph.json","fetch_events":"https://pith.science/api/pith-number/B6D4KFDN6LOJUBQJBXR6RI4OSL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B6D4KFDN6LOJUBQJBXR6RI4OSL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B6D4KFDN6LOJUBQJBXR6RI4OSL/action/storage_attestation","attest_author":"https://pith.science/pith/B6D4KFDN6LOJUBQJBXR6RI4OSL/action/author_attestation","sign_citation":"https://pith.science/pith/B6D4KFDN6LOJUBQJBXR6RI4OSL/action/citation_signature","submit_replication":"https://pith.science/pith/B6D4KFDN6LOJUBQJBXR6RI4OSL/action/replication_record"}},"created_at":"2026-05-18T01:26:10.083015+00:00","updated_at":"2026-05-18T01:26:10.083015+00:00"}